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Finding the Fourth Proportional to 82,655.76, 123,914.52 and 38,314.35

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Solution

The fourth proportional to 82,655.76, 123,914.52 and 38,314.35 is: 57,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,655.76 : 123,914.52 = 38,314.35 : x
  2. Step 2: Convert to fraction form
    82,655.76/123,914.52 = 38,314.35/x
  3. Step 3: Cross multiply
    82,655.76x = 123,914.52 × 38,314.35
  4. Step 4: Simplify right side
    82,655.76x = 4,747,704,289.36
  5. Step 5: Solve for x
    x = 4,747,704,289.36/82,655.76
  6. Step 6: Final answer
    x = 57,439.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.